Universal stability of thermo-diffusive-magneto-hydrodynamics

✍ Scribed by G. Ahmadi

• Publisher: Elsevier Science
• Year: 1975
• Weight: 331 KB
• Volume: 15
• Category: Article
• ISSN: 0013-7480
• DOI: 10.1016/0013-7480(75)90007-8

✦ Synopsis

Criteria for universal stability of the unsteady motion of an incompressible, electrically conducting Boussinesq fluid with heat and mass transfer in the presence of an arbitrary magnetic field and in an arbitrary time dependent domain are established. The interaction between the flow field and the magnetic field is manifested through the Lorentz force and the coupling between the flow and temperature and concentration fields arises through the Boussinesq equation of state.

The stability method employed is an energy technique due to James Serrin. Certain uniqueness theorems for the unsteady and steady flows of thermo-diffusive solution in the presence of a magnetic field are also established.

The theorems established for the stability and uniqueness are universal in the sense that they may be applied to any geometry of bounded domains and any distribution of the basic field variables.